Optimal Control of Switching Diffusions with Application to Flexible Manufacturing Systems

Ghosh, Mrinal K and Arapostathis, Aristotle and Marcus, Steven I (1993) Optimal Control of Switching Diffusions with Application to Flexible Manufacturing Systems. In: SIAM Journal on Control and Optimization, 31 (5). pp. 1183-1204.

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Abstract

A controlled switching diffusion model is developed to study the hierarchical control of flexible manufacturing systems. The existence of a homogeneous Markov nonrandomized optimal policy is established by a convex analytic method. Using the existence of such a policy, the existence of a unique solution in a certain class to the associated Hamilton-Jacobi-Bellman equations is established and the optimal policy is characterized as a minimizing selector of an appropriate Hamiltonian.

Item Type:	Journal Article
Publication:	SIAM Journal on Control and Optimization
Publisher:	Society for Industrial and Applied Mathematics
Additional Information:	Copyright of this article belongs to Society for Industrial and Applied Mathematics
Keywords:	Flexible manufacturing system; Wiener process; Switching diffusion; Poisson measure; Markov policy; Dynamic programming equations
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	01 Aug 2006
Last Modified:	19 Sep 2010 04:30
URI:	http://eprints.iisc.ac.in/id/eprint/7942

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